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Finding the Third Proportional to 114,235.25 and 247,537

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Solution

The third proportional to 114,235.25 and 247,537 is: 536,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,235.25 : 247,537 = 247,537 : x
  2. Step 2: Convert to fraction form
    114,235.25/247,537 = 247,537/x
  3. Step 3: Cross multiply
    114,235.25x = 247,537 × 247,537
  4. Step 4: Simplify right side
    114,235.25x = 61,274,566,369
  5. Step 5: Solve for x
    x = 61,274,566,369/114,235.25
  6. Step 6: Final answer
    x = 536,389.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.